AdaptationTraits

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AdaptationTraits_2

Definition

The concept AdaptationTraits_2 defines the functors required for accessing geometric information in the Delaunay graph that is needed by the Voronoi_diagram_2<DG,AT,AP> class. It optionally defines a functor for performing nearest site queries. A tag is provided for determining whether this functor is defined or not.

Refines

DefaultConstructible, CopyConstructible, Assignable

Types

AdaptationTraits_2::Point_2
	A type for a point.
AdaptationTraits_2::Site_2
	A type for the sites of the Voronoi diagram.
AdaptationTraits_2::Delaunay_graph
	A type for the triangulated Delaunay graph. The type Delaunay_graph must be a model of the DelaunayGraph_2 concept.

typedef Delaunay_graph::Edge	Delaunay_edge;	The type of the edges of the Delaunay graph
typedef Delaunay_graph::Face_handle
	Delaunay_face_handle;	The type of the face handles of the Delaunay graph
typedef Delaunay_graph::Vertex_handle
	Delaunay_vertex_handle;	The type of the vertex handles of the Delaunay graph.

AdaptationTraits_2::Access_site_2
	A type for a functor that accesses the site associated with a vertex. The functor should be a model of the concepts DefaultConstructible, CopyConstructible, Assignable and AdaptableFunctor (with one argument). The functor must provide the following operator: result_type operator()(Delaunay_vertex_handle v) where the result type result_type must be either Site_2 or const Site_2&.
AdaptationTraits_2::Construct_Voronoi_point_2
	A type for a functor that constructs the dual point of a (triangular) face in the Delaunay graph. This point is the Voronoi vertex of the three sites defining the face in the Delaunay graph. The functor must be a model of the concepts DefaultConstructible, CopyConstructible, Assignable, AdaptableFunctor (with one argument). It must provide the following operator: Point_2 operator()(Delaunay_face_handle f). The face handle f must not correspond to an infinite face.
AdaptationTraits_2::Has_nearest_site_2
	A tag for determining if the adaptation traits class provides a functor for performing nearest site queries. This tag is equal to either CGAL::Tag_true (a nearest site query functor is available) or CGAL::Tag_false (a nearest site query functor is not available).
AdaptationTraits_2::Nearest_site_2
	A type for a functor that performs nearest site queries. Semantically, the result of the query is either a face, edge or vertex of the Delaunay graph. It is a face if the query point has at least three closest sites; the returned face has closest sites as vertices. It is an edge if the query point is equidistant to exactly two vertices of the Delaunay graph, which are the source and target vertices of the edge. In all other cases, the search result is a vertex, namely, the unique vertex of the Delaunay graph closest to the query point. The functor must be a model of the concepts DefaultConstructible, CopyConstructible, Assignable, AdaptableFunctor (with two arguments). It must provide the following operator: result_type operator()(Delaunay_graph dg, Point_2 p) where the result type result_type is boost::variant<Delaunay_vertex_handle,Delaunay_edge,Delaunay_face_handle>. This type is required only if Has_nearest_site_2 is equal to CGAL::Tag_true.

Access to objects

Access_site_2	at.access_site_2_object ()
Construct_Voronoi_point_2	at.construct_Voronoi_point_2_object ()
Nearest_site_2	at.nearest_site_2_object ()	This method is required only if Has_nearest_site_2 is equal to CGAL::Tag_true.

Has Models

CGAL::Apollonius_graph_adaptation_traits_2<AG2>
CGAL::Delaunay_triangulation_adaptation_traits_2<DT2>
CGAL::Regular_triangulation_adaptation_traits_2<RT2>
CGAL::Segment_Delaunay_graph_adaptation_traits_2<SDG2>